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Finding the Fourth Proportional to 4,516.74, 6,777.54 and 4,503

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Solution

The fourth proportional to 4,516.74, 6,777.54 and 4,503 is: 6,756.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.74 : 6,777.54 = 4,503 : x
  2. Step 2: Convert to fraction form
    4,516.74/6,777.54 = 4,503/x
  3. Step 3: Cross multiply
    4,516.74x = 6,777.54 × 4,503
  4. Step 4: Simplify right side
    4,516.74x = 30,519,262.62
  5. Step 5: Solve for x
    x = 30,519,262.62/4,516.74
  6. Step 6: Final answer
    x = 6,756.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.